Question 200757
What is the equation of the line that passes through the points (4,0) and (1,-2)?
;
Assign the given coordinates as follows:
x1=4; y1=0
x2=1; y2=-2
:
Find the slope (m) using the slope formula: m = {{{(y2-y1)/(x2-x1)}}}
m = {{{(-2 - 0)/(1 - 4)}}} = {{{(-2)/(-3)}}} = {{{2/3}}}
:
Create the equation using the point/slope formula: y - y1 = m(x - x1)
y - 0 = {{{2/3}}}(x - 4)
:
y = {{{2/3}}}x - {{{2/3}}}(4)
:
y = {{{2/3}}}x - {{{8/3}}}; is the equation